(II) An electron experiences the greatest force as it travels 1.8 x 106 m/s in a magnetic field when it is moving southward. The force is upward and of magnitude 2.2 X 10-12 N. What is the magnitude and direction of the magnetic field

The magnitude of the magnetic feild is

-7.639T .

Explanation:

When a charged particle encounters a uniform magnetic field, the charged particle will experience a magnetic force due to the field. This force is proportional to velocity of the particle and the strength of the magnetic field. This behavior is described by the Lorentz force law. This is given as:

F = qvsintheta

But theta is 90° = 1

Therefore B = F/ qv

Where q is the electron = -1.6 ×10^-19C

V = velocity of the electron

B = (2.2×10^12N)/ (-1.6×10^-19C)×(1.8×10^6m/s)

B = (2.2×10^-12)/(-2.88×10^-13)

B = -7.639T

The magnitude of the magnetic field is 7.639T. The negative means it is in opposite direction.

no. dot product   =0 when vecs at right angles

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